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Consistent Estimation of the “True” Fixed-effects Stochastic Frontier Model

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The classic stochastic frontier panel data models provide no mechanism to disentangle individual time invariant unobserved heterogeneity from inefficiency. Greene (2005a,b) proposed a fixed-effects model specification that distinguishes these two latent components and allows a time varying inefficiency distribution. However, the maximum likelihood estimator proposed by Greene leads to biased inefficiency estimates due to the incidental parameters problem. In this paper, we propose two alternative estimation procedures that, by relying on a first difference data transformation, achieve consistency for n goes to infinity with fixed T. Evidence from Monte Carlo simulations shows good finite sample performances of both approaches even in presence of small samples.

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  • Federico Belotti & Giuseppe Ilardi, 2012. "Consistent Estimation of the “True” Fixed-effects Stochastic Frontier Model," CEIS Research Paper 231, Tor Vergata University, CEIS, revised 18 Apr 2012.
    • Handle: RePEc:rtv:ceisrp:231
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    Cited by:

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    3. Alejandro U. Becerra Ornelas & Héctor M. Núñez, 2017. "Stochastic Frontiers and Technical Efficiency of Local Public Expenditure in Mexico," Working papers DTE 603, CIDE, División de Economía.
    4. Federico Belotti & Silvio Daidone & Giuseppe Ilardi & Vincenzo Atella, 2013. "Stochastic frontier analysis using Stata," Stata Journal, StataCorp LP, vol. 13(4), pages 718-758, December.
    5. Robert Germeshausen & Timo Panke & Heike Wetzel, 2020. "Firm characteristics and the ability to exercise market power: empirical evidence from the iron ore market," Empirical Economics, Springer, vol. 58(5), pages 2223-2247, May.
    6. Alejandro U. Becerra-Ornelas & Hector M. Nuñez, 2019. "The technical efficiency of local economies in Mexico: a failure of decentralized public spending," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 62(2), pages 247-264, April.
    7. Mr. Marco Committeri & Ms. Carola Pessino, 2013. "Understanding Countries’ Tax Effort," IMF Working Papers 2013/244, International Monetary Fund.
    8. Zoltán Bakucs & Imre Fertő & Enikő Vígh, 2020. "Crop Productivity and Climatic Conditions: Evidence from Hungary," Agriculture, MDPI, vol. 10(9), pages 1-12, September.
    9. Xiang, C. & Huang, J., 2018. "The Roles of Exotic Wheat Germplasms in Wheat Breeding and Their Impacts on Wheat Production in China," 2018 Conference, July 28-August 2, 2018, Vancouver, British Columbia 277017, International Association of Agricultural Economists.
    10. Ferro, Gustavo & Lentini, Emilio J. & Mercadier, Augusto C. & Romero, Carlos A., 2014. "Efficiency in Brazil's water and sanitation sector and its relationship with regional provision, property and the independence of operators," Utilities Policy, Elsevier, vol. 28(C), pages 42-51.
    11. Yakubu Abdul-Salam & Euan Phimister, 2017. "Efficiency Effects of Access to Information on Small-scale Agriculture: Empirical Evidence from Uganda using Stochastic Frontier and IRT Models," Journal of Agricultural Economics, Wiley Blackwell, vol. 68(2), pages 494-517, June.
    12. Luz A. Florez & Ligia Alba Melo-Becerra & Carlos Esteban Posada, 2021. "Estimating the reservation wage across city groups in Colombia: A stochastic frontier approach," Borradores de Economia 1163, Banco de la Republica de Colombia.
    13. Andras Tothmihaly, & Verina Ingram., 2017. "How can the productivity of Indonesian cocoa farms be increased?," GlobalFood Discussion Papers 258588, Georg-August-Universitaet Goettingen, GlobalFood, Department of Agricultural Economics and Rural Development.
    14. Marin, Giovanni & Palma, Alessandro, 2017. "Technology invention and adoption in residential energy consumption," Energy Economics, Elsevier, vol. 66(C), pages 85-98.
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    16. Ipatova, Irina & Peresetsky, Аnatoly, 2013. "Technical efficiency of Russian plastic and rubber production firms," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 32(4), pages 71-92.

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    More about this item

    Keywords

    Stochastic frontiers; Fixed-effects; Panel data; Marginal simulated likelihood; Pairwise differencing;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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